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Simplifying 7(x + 3) = 5(7 + 4x) + -13x Reorder the terms: 7(3 + x) = 5(7 + 4x) + -13x (3 * 7 + x * 7) = 5(7 + 4x) + -13x (21 + 7x) = 5(7 + 4x) + -13x 21 + 7x = (7 * 5 + 4x * 5) + -13x 21 + 7x = (35 + 20x) + -13x Combine like terms: 20x + -13x = 7x 21 + 7x = 35 + 7x Add '-7x' to each side of the equation. 21 + 7x + -7x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 0 = 35 + 7x + -7x 21 = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 21 = 35 + 0 21 = 35 Solving 21 = 35 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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